Question

Daily commute about 83% of u.s. employees drive their own vehicle to work. you randomly select a sample of u.s. employees. find the probability that more than 100 of the employees drive their own vehicle to work. (source: u.s. bureau of labor statistics)

(a) you select 110 u.s. employees.
(b) you select 125 u.s. employees.
(c) you select 150 u.s. employees.

Answer 1

To find the probability that more than 100 employees drive their own vehicle to work, use the cumulative distribution function of a binomial distribution.

Step-by-step explanation:

To find the probability that more than 100 employees drive their own vehicle to work:

a) If you select 110 employees:

1. Find the probability that 100 or fewer employees drive their own vehicle using the cumulative distribution function of a binomial distribution.
2. Subtract this probability from 1 to find the probability that more than 100 employees drive their own vehicle.

b) If you select 125 employees:

1. Find the probability that 100 or fewer employees drive their own vehicle using the cumulative distribution function of a binomial distribution.
2. Subtract this probability from 1 to find the probability that more than 100 employees drive their own vehicle.

c) If you select 150 employees:

1. Find the probability that 100 or fewer employees drive their own vehicle using the cumulative distribution function of a binomial distribution.
2. Subtract this probability from 1 to find the probability that more than 100 employees drive their own vehicle.